Answer:
(- 4, 1 )
Step-by-step explanation:
A translation (x + 1), y - 3 ) means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate.
B = (- 5, 4 ), thus
B' = (- 5 + 1, 4 - 3 ) = (- 4, 1 )
Answer:
-2
Step-by-step explanation:
= -2
I hope this helps!
Answer:
Below.
Step-by-step explanation:
a = 37 degrees ( vertical angle to 37 )
c = 180 - 37 = 143 degrees (adjacent angles add up to 180).
b = 180 - 37 - 109 = 34 degrees (angles in a triangle sum to 180 degrees).
Answer:
(1,2.16), (2,4.32) and (3, 6.48).
The solution (1,2.16) means that 1 cubic units of pudding weighs 2.16 pounds.
The solution (2,4.32) means that 2 cubic units of pudding weighs 4.32 lbs.
Step-by-step explanation:
The equation y=2.16x describes the weight y of x cubic pounds of pudding.
The three solutions of this equation are (1,2.16), (2,4.32) and (3, 6.48).
Now, solution (1,2.16) means that 1 cubic unit of pudding weighs 2.16 pounds.
Again, solution (2,4.32) means that 2 cubic units of pudding weigh 4.32 lbs. (Answer)
Let's find the perimeter first by adding all the side lengths together. There are two missing side lengths, which we can find by taking the side opposite them and subtract the side behind the missing side from them.
I've attached a diagram showing how to find the side lengths.
Now let's add all the side lengths together: 4 cm + 8 cm + 8 cm + 2 cm + 4 cm + 6 cm = 32 cm
The perimeter of this figure is 32 cm.
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To find the area we can divide this figure into 2 rectangles. On the second attached diagram, I've split the figure into two and labeled the length and width of each rectangle.
Area of a rectangle = length * width
Area of red labeled rectangle = 4 cm * 2 cm = 8 cm²
Area of yellow labeled rectangle = 8 cm * 4 cm = 32 cm²
Add the two areas together: 8 + 32 = 40
The area of the figure is 40 cm².